Advertisement

Differential Geometry on a Precise Gaussian Probability Space

  • Paul Malliavin
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 313)

Abstract

Regular disintegration corresponding to a non-degenerate functional; principle of descent — Partial function associated to a splitting — Finite codimensional projection of a slim set is slim — Implicit function theorem in finite codimension — Differential forms of degree p — Non-normalized conditional expectation of differential forms — Currents; currents along a fibre of a non-degenerate map — Submanifolds; their defining functions — Gauss map of a submanifold, its approximate continuity — Hausdorff area measure of a submanifold — Functional characterization of the area measure — Coarea formula along a non-degenerate map — The operator δ; its commutation with the non-normalized conditional expectation — Oriented submanifold — Stokes’ theorem.

Keywords

Differential Form Implicit Function Theorem Partial Function Finite Energy Oriented Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • Paul Malliavin

There are no affiliations available

Personalised recommendations